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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.11987 |
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| _version_ | 1866909240190304256 |
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| author | Sorkatti, Layla Uğurlu, Özlem Varahagiri, Manisha |
| author_facet | Sorkatti, Layla Uğurlu, Özlem Varahagiri, Manisha |
| contents | The structure of nilpotent symplectic algebras of maximal class has been studied in [8, 5]. In this paper, we study the dual subclass of algebras of minimal class. In particular, we show that symplectic alternating algebras of dimension up to $16$ that are minimal, in the sense that they are of rank $2$ with minimum nilpotency class, have a class that confirm a conjecture that has been raised in [3]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11987 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On minimal symplectic alternating algebras Sorkatti, Layla Uğurlu, Özlem Varahagiri, Manisha Rings and Algebras 17D99, 20F45 The structure of nilpotent symplectic algebras of maximal class has been studied in [8, 5]. In this paper, we study the dual subclass of algebras of minimal class. In particular, we show that symplectic alternating algebras of dimension up to $16$ that are minimal, in the sense that they are of rank $2$ with minimum nilpotency class, have a class that confirm a conjecture that has been raised in [3]. |
| title | On minimal symplectic alternating algebras |
| topic | Rings and Algebras 17D99, 20F45 |
| url | https://arxiv.org/abs/2311.11987 |